He made his film debut in the 1941 crime drama Riot Squad opposite Richard Cromwell. The following year, Space appeared alongside Abbott and Costello in Rio Rita. He also had roles in Tortilla Flat (1942), Our Vines Have Tender Grapes (1945), The Fuller Brush Man (1948), and The Fuller Brush Girl (1950). In the early 1950s, Space appeared in various film serials including Government Agents vs. Phantom Legion, Canadian Mounties vs. Atomic Invaders, and Panther Girl of the Kongo.